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JEE MATHEMATICS MCQ: DIFFERENTIATION

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Application +4 | -1
The value of ddx(∣x−1∣+∣x−5∣)\frac{d}{d x}(|x-1|+|x-5|) at x=3x=3 is
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Correct option: B
0
Option B (0) is correct because at x=3x=3, the function f(x)=∣x−1∣+∣x−5∣f(x) = |x-1| + |x-5| is constant, hence its derivative is zero.

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